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Finding the Fourth Proportional to 100,046.40, 150,026.40 and 50,107.20

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Solution

The fourth proportional to 100,046.40, 150,026.40 and 50,107.20 is: 75,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,046.40 : 150,026.40 = 50,107.20 : x
  2. Step 2: Convert to fraction form
    100,046.40/150,026.40 = 50,107.20/x
  3. Step 3: Cross multiply
    100,046.40x = 150,026.40 × 50,107.20
  4. Step 4: Simplify right side
    100,046.40x = 7,517,402,830.08
  5. Step 5: Solve for x
    x = 7,517,402,830.08/100,046.40
  6. Step 6: Final answer
    x = 75,139.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.